On q-deformed gl(l+1)-Whittaker function III

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We identify q-deformed gl(l+1)-Whittaker functions with a specialization of Macdonald polynomials. This provides a representation of q-deformed gl(l+1)-Whittaker functions in terms of Demazure characters of affine Lie algebra \hat{gl(l+1)}. We also define a system of dual Hamiltonians for q-deformed gl(l+1)-Toda chains and give a new integral representation for q-deformed gl(l+1)-Whittaker functions. Finally an expression of q-deformed gl(l+1)-Whittaker function as a matrix element of a quantum torus algebra is derived.
20 pages, several typos corrected

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Representation Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/162585

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.3754
 http://arxiv.org/abs/0805.3754

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arXiv